Talk Abstract Analytical Study of Bifurcation of a Flow of a Gas Between Coaxial Circular Cylinders with Evaporation and Condensation

Yoshio
Sone
University of Kyoto

Time-independent behavior of a gas between two coaxial cylinders
made of the condensed phase of the gas, where the cylinders
are rotating around their common axis and evaporation or condensation
is taking place, is considered with special attention to the
bifurcation of the flow. The problem is studied analytically
for small values of the speed of rotation of the cylinders and
Knudsen number on the basis of the Boltzmann equation, and the
solution is obtained explicitly. The bifurcation of the flow
occurs even in a simple case where the gas is axially symmetric
and uniform (or the flow field depends only on the radial coordinate).
The comprehensive feature of the bifurcation of flow is clarified
with the explicit forms of solutions and bifurcation diagram.